Classical logic and the division by zero

Ilija Barukčić

doi:https://doi.org/10.14445/22315373/IJMTT-V65I8P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P506

Classical logic and the division by zero

Ilija Barukčić

Citation :

Ilija Barukčić, "Classical logic and the division by zero," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 31-73, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P506

Abstract

The division by zero turned out to be a long lasting and not ending puzzle in mathematics and physics. An end of this long discussion appears not to be in sight. In particular zero divided by zero is treated as indeterminate thus that a result cannot be found out. It is the purpose of this publication to solve the problem of the division of zero by zero while relying on the general validity of classical logic. A systematic re-analysis of classical logic and the division of zero by zero has been undertaken. The theorems of this publication are grounded on classical logic and Boolean algebra. There is some evidence that the problem of zero divided by zero can be solved by today’s mathematical tools. According to classical logic, zero divided by zero is equal to one.

Keywords

Indeterminate forms, Classical logic, Zero divided by zero, Infinity

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